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A042337 Denominators of continued fraction convergents to sqrt(695). 2

%I #14 Jun 13 2015 00:49:40

%S 1,2,3,11,113,350,463,1276,66815,134906,201721,740069,7602411,

%T 23547302,31149713,85846728,4495179569,9076205866,13571385435,

%U 49790362171,511475007145,1584215383606,2095690390751,5775596165108,302426690976367,610628978117842

%N Denominators of continued fraction convergents to sqrt(695).

%H Vincenzo Librandi, <a href="/A042337/b042337.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,67278,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^14 -2*x^13 +3*x^12 -11*x^11 +113*x^10 -350*x^9 +463*x^8 -1276*x^7 -463*x^6 -350*x^5 -113*x^4 -11*x^3 -3*x^2 -2*x -1) / (x^16 -67278*x^8 +1). - _Colin Barker_, Dec 08 2013

%t Denominator[Convergents[Sqrt[695], 30]] (* _Vincenzo Librandi_, Jan 20 2014 *)

%Y Cf. A042336, A040668.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 08 2013

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